1. The growth rate equation has a general form of:
y = A (r)^t
The function is growth when r≥1, and it is a decay when
r<1. Therefore:
y=200(0.5)^2t -->
Decay
y=1/2(2.5)^t/6 -->
Growth
y=(0.65)^t/4 -->
Decay
2. We rewrite the given equation (1/3)^d−5 = 81
Take the log of both sides:
(d – 5) log(1/3) = log 81
d – 5 = log 81 / log(1/3)
d – 5 = - 4
Multiply both sides by negative 1:
- d + 5 = 4
So the answer is D
Answer:
3rd option
Step-by-step explanation:
8 - 3x ≥ - 4 ( subtract 8 from both sides )
- 3x ≥ - 12
divide both sides by - 3 , reversing the symbol as a result of dividing by a negative quantity.
x ≤ 4
since ≤ the circle on number line is solid ( not open )
since less than 4 then arrow points left away from 4
the solution is shown on the third graph
For question 1, just plug in -2 as <em>h.
</em>
<em>
</em>You would get...
<em>
</em>Hope this helped! <em>-4, or option 1, is correct!</em><em>
</em>
tan( tehta ) = 2/3
Sin( tetha ) = 2/√13
tan( tetha ) + Sin( tetha ) = 2/3 + 2/√13
= 2√13 + 6 / 3√13
